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Oduvanchick [21]
3 years ago
8

As a student project Natalie would like to see whether there is statistical evidence Earth is warmer today versus 30 years ago.

She randomly samples 100 locations around the world and collects the annual average high for each location for the years 1985 and 2015. She proceeds to compare the differences among the time periods with respect to location. What procedure should be used to test whether the average difference in temperature between the locations is greater than zero
Mathematics
2 answers:
prohojiy [21]3 years ago
6 0

Answer:

Natalie would use a "test of difference between two means".

Step-by-step explanation:

First step: State the hypotheses of the test as follows;

H_{0} : U_{1} -U_{2} = 0\\H_{1}  : U_{1} -U_{2} \geq  0

Where U_1 ,U_2 are the Population means of years 1985 and 2015 respectively.

Second step: Determine the level of significance to be used for the testing. A 5% level of significance or 10% level of significance could be used.

Third step: Calculate the sample means and Variances for the two populations as follows;

m_1 = \frac{sum ofx_(1985)i}{n} \\m_2=\frac{sumofx_(2015)i}{n}

where m_1,m_2 are the annual average high warmth for the years 1985 and 2015 respectively.

s_1= \frac{sum(x_i-m_1)^{2} }{n-1} \\s_2=\frac{sum(x_i-m_2)^{2} }{n-1}

where s_1,s_2 are the respective sample variances for 1985 and 2015

and n=100

Step three: The test statistic is computed as follows;

Z=\frac{m_1-m_2}{\sqrt{\frac{s_1}{n}+\frac{s_2}{n}  } }

Step four: The Critical point for acceptance is calculated using the normal table and chosen level of significance. It is represented as Z_\alpha

Step five: The decision rule is specified as follows:

Reject H_0 if Z\geq Z_ \alpha, otherwise do not reject.

Step six: Conclusion is made based on the outcome of the test.

Note: \geq used here represents "greater than"

seropon [69]3 years ago
3 0

Answer:

She should use the variance and standard deviation

Step-by-step explanation:

In order to make her results statistically significant, the student has to use statistical methods to check the results. In this way, the student will be able to determine whether there is a clear correlation between her results. In addition, using the standard deviation would be a useful tool to check whether her data will not be very much scattered throughout the distribution. By using the standard deviation, she will be able to see how far her data moves away from the mean or average.

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Nikolay [14]
Yes choice B) 1/5 is correct. You are using the correct formula and steps. Nice work.

Here's another way to look at it:

When you visually plot the inverse, you reflect everything over the line y = x. What happens is that every (x,y) point swaps coordinates. So if (1,2) is on g(x), then (2,1) is on the inverse, and vice versa. Swapping the x and y values will swap the nature of the tangent slope.

For any tangent on g(x), its slope is m = (dy)/(dx)

The corresponding slope on the inverse will be n = (dx)/(dy). All that's happened here is that the numerator and denominator flipped. Again because x and y have swapped places. If you wanted, you can picture the xy axis where the vertical axis is the x axis and the horizontal axis is the y axis. That's effectively what is going on here. 

So before you found that g'(1) = 5 meaning that m = 5/1 on g(x) at the point (1,2)
So n = 1/m = 1/5 for the point (2,1) on the inverse g function.
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3 years ago
What is the absolute value of l -32 l?
MakcuM [25]
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4 0
3 years ago
3+3/4x= 7/10 do not use decimals in your answer
murzikaleks [220]

Answer:

x = -\frac{45}{15}

Step-by-step explanation:

We have the equation: 3 + \frac{3}{4} x = \frac{7}{10}

Move the constant (in this case the constant is 3) to the right side of the equation, changing its sign

\frac{3}{4} x = \frac{7}{10} - 3

Calculate the difference.

\frac{3}{4} x = -\frac{23}{10}

Divide.

(when dividing two fractions, you can change it to a multiplication problem by switching the numerator and denominator of the divisor.)

So, we get the equation -\frac{23}{10} x \frac{4}{3} which is -\frac{45}{15} .

I hope this helps!

7 0
3 years ago
An art club sells 42 large candles and 56 small candle price of large candle is $10 the cost is $x a small candles cost $5 and c
balandron [24]

Answer:

Profit = $(700 - 42x - 56y)

Step-by-step explanation:

For large candles, the selling price is $10 and its making cost is $x.

So, by selling a large candle the profit is $(10 - x)

Again for small candles, the selling price is $5 and its making cost is $y.

So, by selling a small candle the profit is $(5 - y)

Therefore, in a sell of 42 large candles and 56 small candles the total profit will be, P = 42 (10 - x) + 56 (5 - y)

⇒ P = 420 - 42x + 280 - 56y {Applying distributive property}

⇒ P = $(700 - 42x - 56y) (Answer)

4 0
3 years ago
Answer it guys pls idk how... you can also show the steps. For those who answer it all correctly I will give the brainliest answ
FromTheMoon [43]

Answer:

essentially, in these problems, youre finding the square root of each number. the square root should be a decimal thats in between two other numbers, and those will be the integers that the value of the square root is between. unless the value is exactly a number and a half, it will be closer to one integer than the other. the work is below.

square root of:

59= 7.68

68= 8.246

78= 8.83

93= 9.64

104= 10.198

124= 11.14

33= 5.74

185= 13.6

215= 14.66

these are just the square roots. but, as you can see, each number is between two other whole numbers on a number line. So, just write down what those numbers are.

7.68 is between 7 and 8

8.246 is between 8 and 9

8.83 is between 8 and 9

9.64 is between 9 and 10

10.198 is between 10 and 11

11.14 is between 11 and 12

5.74 is between 5 and 6

13.6 is between 13 and 14

14.66 is between 14 and 15

so, we know thw numbers that each decimal is between, but we have to find which one each is cloest to. in order to do that, just know that if the decimal is more than .5 its closer to the larger number, and its its less than .5, its closer to thw smaller number.

7.68 is closer to 8

8.246 is closer to 8

8.83 is closer to 9

9.64 is closer to 10

10.198 is closer to 10

11.14 is closer to 11

5.74 is closer to 6

13.6 is closer to 14

14.66 is closer to 15

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